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Finding the Fourth Proportional to 11,848.68, 17,838.69 and 10,469.88

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Solution

The fourth proportional to 11,848.68, 17,838.69 and 10,469.88 is: 15,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.68 : 17,838.69 = 10,469.88 : x
  2. Step 2: Convert to fraction form
    11,848.68/17,838.69 = 10,469.88/x
  3. Step 3: Cross multiply
    11,848.68x = 17,838.69 × 10,469.88
  4. Step 4: Simplify right side
    11,848.68x = 186,768,943.66
  5. Step 5: Solve for x
    x = 186,768,943.66/11,848.68
  6. Step 6: Final answer
    x = 15,762.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.